Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about x = 4. y = 3x4, y = 0, x = 2

the volume V generated by rotating the regions 281.49

Step-by-step explanation:

Given that;

the radius of the shell ⇒ (4 - x)  

then the circumference of the shell is 2π( 3 - x )  i.e 2π × radius

y = 0 and x = 2

the height of the shell is 3x⁴

Now the volume of the solid obtained by rotating

the bounded region about x = 4 is;

V = ²∫₀ 2π ( 4 - x ) ( 3x⁴ ) dx

= ²∫₀ 2π ( 12x⁴ - 3x⁵ ) dx

= 2π [ 12x⁵/5 - 3x⁶/6 ]₀²     {BY FTC -2]

= 2π [ (12×32)/5 - (3×64)/6 ] - ( 0-0) ]

= 2π [ 76.8 - 32]

= 2π [ 44.8 ]

= 281.49

Therefore the volume V generated by rotating the regions 281.49

i do not know the answer i am sorry

answer: since the question is talking about growth you have to use the growth formula which is inital amount (1 + growth)^time

step-by-step explanation:

the intial amount is 1200, the growth is 4.8, and the time is 7. plug those numbers into the equation, also i think you have to change 4.8 into a percent. but, i have forgotton how to do that. if this is a online class go on to the lesson.